4.16. Derive the differential equation of motion of the damped single degree of freedom mass-spring system shown in Fig. P4.2. Obtain the steady state solution and the amplitude of the force transmitted to the base. For this system, let m = 3kg, ki = k2 = 1350 N/m, c = 40 N · s/m, and y = 0.04 sin 15t. The initial conditions are xo = 5mm and io = 0. Determine the displacement, velocity, and acceleration of the mass after time t = 1s. Determine also the steady state amplitude of the force transmitted to the base.

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